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Finding the Fourth Proportional to 583.52, 804.32 and 504.64

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Solution

The fourth proportional to 583.52, 804.32 and 504.64 is: 695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.52 : 804.32 = 504.64 : x
  2. Step 2: Convert to fraction form
    583.52/804.32 = 504.64/x
  3. Step 3: Cross multiply
    583.52x = 804.32 × 504.64
  4. Step 4: Simplify right side
    583.52x = 405,892.04
  5. Step 5: Solve for x
    x = 405,892.04/583.52
  6. Step 6: Final answer
    x = 695.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.